80826605568000 has 1632 divisors, whose sum is σ = 318251376992640. Its totient is φ = 20409797836800.

The previous prime is 80826605567963. The next prime is 80826605568031. The reversal of 80826605568000 is 86550662808.

80826605568000 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 6 + 6 + 0 + 556 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37822462932 + ... + 37822465068.

Almost surely, 2^{80826605568000} is an apocalyptic number.

80826605568000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80826605568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159125688496320).

80826605568000 is an abundant number, since it is smaller than the sum of its proper divisors (237424771424640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80826605568000 is an frugal number, since it uses more digits than its factorization.

80826605568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 80826605568000 in words is "eighty trillion, eight hundred twenty-six billion, six hundred five million, five hundred sixty-eight thousand".